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Finding the Third Proportional to 232,989 and 509,597

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Solution

The third proportional to 232,989 and 509,597 is: 1,114,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,989 : 509,597 = 509,597 : x
  2. Step 2: Convert to fraction form
    232,989/509,597 = 509,597/x
  3. Step 3: Cross multiply
    232,989x = 509,597 × 509,597
  4. Step 4: Simplify right side
    232,989x = 259,689,102,409
  5. Step 5: Solve for x
    x = 259,689,102,409/232,989
  6. Step 6: Final answer
    x = 1,114,598.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.